Chapter 0.5, Problem 13E

To determine

whether each situation involves a permutation or a combination and then to find the number of possibilities.

Answer to Problem 13E

The numbers of possibilities are 360possibilities .

Explanation of Solution

Given information :

It is given that to choose 2 different pizza toppings from a list of 6.

In the given event, the order of the toppings does not matter; therefore, it is a permutation.

The number of possibilities is given by,

  $\begin{array}{c}P{}_2=\frac{6!}{2!}\\ =\frac{720}{2}possibilities\\ =360possibilities\end{array}$

So, the numbers of possibilities are 360possibilities .